%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU114+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 16:29:18 EDT 2023

% Result   : Theorem 0.94s 1.13s
% Output   : Proof 0.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU114+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Wed Aug 23 21:34:53 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.94/1.13  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.coLkUUqswg/cvc5---1.0.5_3266.p...
% 0.94/1.13  ------- get file name : TPTP file name is SEU114+1
% 0.94/1.13  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3266.smt2...
% 0.94/1.13  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.94/1.13  % SZS status Theorem for SEU114+1
% 0.94/1.13  % SZS output start Proof for SEU114+1
% 0.94/1.13  (
% 0.94/1.13  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (tptp.finite A) (= (tptp.finite_subsets A) (tptp.powerset A))))))) (let ((_let_3 (forall ((A $$unsorted)) (tptp.subset (tptp.finite_subsets A) (tptp.powerset A))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))))) (let ((_let_5 (forall ((A $$unsorted)) (tptp.preboolean (tptp.finite_subsets A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.preboolean B) (= (= B (tptp.finite_subsets A)) (forall ((C $$unsorted)) (= (tptp.in C B) (and (tptp.subset C A) (tptp.finite C))))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.finite A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.finite B))))))) (let ((_let_10 (tptp.finite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_11 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (and _let_11 _let_10))) (let ((_let_13 (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 _let_13))) (let ((_let_15 (= _let_14 _let_12))) (let ((_let_16 (not _let_12))) (let ((_let_17 (forall ((C $$unsorted)) (= (and (tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.finite C)) (tptp.in C (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_18 (tptp.preboolean _let_13))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.preboolean B)) (= (= B (tptp.finite_subsets A)) (forall ((C $$unsorted)) (= (tptp.in C B) (and (tptp.subset C A) (tptp.finite C))))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_5))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (_let_17))) (let ((_let_26 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_27 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 _let_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_14))) (let ((_let_30 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (tptp.in C (tptp.finite_subsets SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (tptp.subset _let_26 _let_13))) (let ((_let_33 (= _let_32 _let_30))) (let ((_let_34 (not _let_30))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (tptp.subset _let_13 _let_26))) (let ((_let_38 (and _let_37 _let_32))) (let ((_let_39 (not _let_32))) (let ((_let_40 (= _let_13 _let_26))) (let ((_let_41 (= _let_40 _let_38))) (let ((_let_42 (not _let_38))) (let ((_let_43 (_let_8))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.finite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_40))) (let ((_let_48 (forall ((A $$unsorted)) (or (not (tptp.finite A)) (= (tptp.finite_subsets A) (tptp.powerset A)))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or))) (let ((_let_52 (not _let_48))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_50) :args (_let_52))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_48))) (REFL :args (_let_49)) :args _let_51)) _let_50 :args (_let_49 true _let_48)))) (let ((_let_54 (_let_3))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (_let_34))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_33)) :args ((or _let_32 _let_34 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_38)) :args ((or (not _let_37) _let_38 _let_39))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.finite_subsets A)))) :args _let_54)) _let_55 :args (_let_37 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_41)) :args ((or _let_40 _let_42 (not _let_41)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 1)) _let_53 :args ((not _let_40) true _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_13 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_43)) _let_44 :args (_let_41 false _let_8)) :args (_let_42 true _let_40 false _let_41)) :args (_let_39 false _let_37 true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_26 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_35))) _let_36 :args (_let_33 false _let_35)) :args (_let_34 true _let_32 false _let_33)) :args (_let_31 true _let_30)))) (let ((_let_58 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 _let_26))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_46 _let_59 _let_10))) (let ((_let_61 (forall ((A $$unsorted) (BOUND_VARIABLE_939 $$unsorted)) (or (not (tptp.finite A)) (not (tptp.element BOUND_VARIABLE_939 (tptp.powerset A))) (tptp.finite BOUND_VARIABLE_939))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (or _let_28 _let_58))) (let ((_let_64 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (tptp.element A B))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_28 _let_58 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_51)) :args ((or _let_27 _let_29))) _let_57 :args (_let_27 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) false))))) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_58 false _let_27 false _let_63)))) (let ((_let_67 (= _let_58 _let_11))) (let ((_let_68 (_let_1))) (let ((_let_69 (ASSUME :args _let_68))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_11 _let_59 (not _let_67)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.element A (tptp.powerset B))))) :args _let_68)) _let_69 :args (_let_67 false _let_1)) :args (_let_11 false _let_58 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_46 _let_10 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_51)) :args ((or _let_45 _let_47))) _let_53 :args (_let_45 true _let_47)) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_939 (tptp.powerset A)) false))))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_10 false _let_45 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_15)) :args ((or _let_14 _let_16 (not _let_15)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 1)) _let_57 :args ((not _let_14) true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_25) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_13)))) :args _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 (not _let_20)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.finite_subsets A)))) :args _let_23)) _let_24 :args (_let_18 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.preboolean B) false)) (tptp.finite_subsets A)))) :args (_let_21)))) _let_22 :args (_let_20 false _let_21)) :args (_let_17 false _let_18 false _let_20)) :args (_let_15 false _let_17)) :args (_let_16 true _let_14 false _let_15)) :args (false false _let_11 false _let_10 true _let_12)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) (forall ((A $$unsorted)) (=> (tptp.preboolean A) (and (tptp.cup_closed A) (tptp.diff_closed A)))) _let_9 (forall ((A $$unsorted)) (=> (and (tptp.cup_closed A) (tptp.diff_closed A)) (tptp.preboolean A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element B (tptp.finite_subsets A)) (tptp.finite B))) _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.powerset A))) (and (not (tptp.empty _let_1)) (tptp.cup_closed _let_1) (tptp.diff_closed _let_1) (tptp.preboolean _let_1)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (tptp.empty tptp.empty_set) (forall ((A $$unsorted)) (let ((_let_1 (tptp.finite_subsets A))) (and (not (tptp.empty _let_1)) (tptp.cup_closed _let_1) (tptp.diff_closed _let_1) (tptp.preboolean _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.cup_closed A) (tptp.cap_closed A) (tptp.diff_closed A) (tptp.preboolean A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B) (tptp.relation B) (tptp.function B) (tptp.one_to_one B) (tptp.epsilon_transitive B) (tptp.epsilon_connected B) (tptp.ordinal B) (tptp.natural B) (tptp.finite B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.subset A B) (tptp.finite B)) (tptp.finite A))) _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.94/1.14  )
% 0.94/1.14  % SZS output end Proof for SEU114+1
% 0.94/1.14  % cvc5---1.0.5 exiting
% 0.94/1.14  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------